RT Book, Section
T1 Regularity and paracompactness: relation in the field of fuzziness
A1 Gallego Lupiáñez, Francisco
A2 Kahraman, Cengiz
A2 Sari, Irem Ucal
A2 Oztaysi, Basar
A2 Cebi, Selcuk
A2 Onar, Sezi Cevik
A2 Tolga, A. Çagri
AB In this paper we obtain two characterizations of regular fuzzy topological spaces using Luo's and Abd El-Monsef and others’ paracompact fuzzy topological spaces. Thus, it shows that regularity of fuzzy topological spaces can be considered as a paracompact-type property with several kinds of paracompact fuzzy topological spaces. Indeed, we prove that for a fuzzy Hausdorff fuzzy topological space (in any of Wuyts and Lowen’s definitions that are good extensions of Hausdorffness) there is a characterization using Luo’s paracompact fuzzy topological spaces, and also another result with a characterization using definition due to Abd El-Monsef, Zeyada, El-Deeb, and Hanafy. This supposes a stimulus for further investigations, tending to obtain characterizations of other fuzzy separation properties (for example fuzzy normality, fuzzy complete regularity,..) as fuzzy covering properties.
PB Springer
SN 978-3-031-39774-5
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/88724
UL https://hdl.handle.net/20.500.14352/88724
LA eng
NO Lupiáñez, Francisco Gallego. «Regularity and Paracompactness: Relation in the Field of Fuzziness». Intelligent and Fuzzy Systems, editado por Cengiz Kahraman et al., vol. 758, Springer Nature Switzerland, 2023, pp. 65-68. https://doi.org/10.1007/978-3-031-39774-5_8.
DS Docta Complutense
RD 4 abr 2025